Weierstrass-like methods with corrections for the inclusion of polynomial zeros

被引：2

作者：

Petkovic, LD

Petkovic, MS

Milosevic, D

机构：

[1] Univ Nis, Fac Mech Engn, Nish 18000, Serbia Monteneg

[2] Univ Nish, Fac Elect Engn, Nish 18000, Serbia Monteneg

来源：

COMPUTING | 2005年 / 75卷 / 01期

关键词：

zeros of polynomials; simultaneous methods; convergence rate; circular arithmetic;

D O I：

10.1007/s00607-004-0114-y

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we present iterative methods of Weierstress' type for the simultaneous inclusion of all simple zeros of a polynomial. The main advantage of the proposed methods is the increase of the convergence rate attained by applying suitable correction terms. Using the concept of the R-order of convergence of mutually dependent sequences, we present the convergence analysis for the total-step and the single-step methods. Numerical examples are given.

引用

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页码：55 / 69

页数：15

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